Solve: 8 ÷ 4 + 3 × 3 Using Order of Operations

Q: Why don't I just solve from left to right like reading?

Mathematics has specific rules that are different from reading! The order of operations (PEMDAS/BODMAS) ensures everyone gets the same answer. Without these rules, $ 8 \div 4 + 3 \times 3 $ could have multiple "correct" answers.

Q: What if I accidentally do addition before multiplication?

You'll get the wrong answer! For example, if you calculate $ 4 + 3 = 7 $ first, then $ 8 \div 7 \times 3 $, you get a completely different result. Always follow PEMDAS order.

Q: Do division and multiplication really have the same priority?

Yes! When you have both division and multiplication in the same expression, work from left to right. They're equal in the order of operations hierarchy.

Q: How can I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Many students remember "Please Excuse My Dear Aunt Sally" as a helpful phrase!

Q: What should I do first in this problem?

Look for the highest priority operations first. Since there are no parentheses or exponents, start with division and multiplication. In $ 8 \div 4 + 3 \times 3 $, do both $ 8 \div 4 $ and $ 3 \times 3 $ before adding.

Order of Operations with Mixed Division and Multiplication

$8 \div 4 + 3 \times 3 =$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$8 \div 4 + 3 \times 3 =$

Step-by-step solution

1. Follow the order of operations (PEMDAS/BODMAS).

2. First do the division: $8 \div 4 = 2$ .

3. Then, perform the multiplication: $3 \times 3 = 9$ .

4. Finally, perform the addition: $2 + 9 = 11$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Division and multiplication have equal priority, work left to right
Technique: Calculate $8 \div 4 = 2$ first, then $3 \times 3 = 9$
Check: Final step addition gives $2 + 9 = 11$ ✓

Common Mistakes

Avoid these frequent errors

Performing operations from left to right without considering priority
Don't solve $8 \div 4 + 3 \times 3$ as $8 \div (4 + 3) \times 3 = 8 \div 7 \times 3$ ! This ignores order of operations and gives wrong results. Always complete division and multiplication first (left to right), then addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

$8 + 3 \times 2 =$

FAQ

Everything you need to know about this question

Why don't I just solve from left to right like reading?

Mathematics has specific rules that are different from reading! The order of operations (PEMDAS/BODMAS) ensures everyone gets the same answer. Without these rules, $8 \div 4 + 3 \times 3$ could have multiple "correct" answers.

What if I accidentally do addition before multiplication?

You'll get the wrong answer! For example, if you calculate $4 + 3 = 7$ first, then $8 \div 7 \times 3$ , you get a completely different result. Always follow PEMDAS order.

Do division and multiplication really have the same priority?

Yes! When you have both division and multiplication in the same expression, work from left to right. They're equal in the order of operations hierarchy.

How can I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Many students remember "Please Excuse My Dear Aunt Sally" as a helpful phrase!

What should I do first in this problem?

Look for the highest priority operations first. Since there are no parentheses or exponents, start with division and multiplication. In $8 \div 4 + 3 \times 3$ , do both $8 \div 4$ and $3 \times 3$ before adding.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Order of operations for beginners questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime